I don't use a Remington pump-gun, but I DO have some short-range scopes.
My favorite scope on my "all-around" rifle, is the Redfield "WideField" 2-7 variable. It is a crosshair model on an FN Mauser .270 AI. I don't believe in shooting at an unwounded animal at more than 350-400 yards so a 2 1/2x to 4X scope sighted about 2" high will work just fine.
I have severals scopes with TKLee dots in them. My Lyman 4X has a 4moa dot, my Weaver K2.5 has a 3moa dot, the Weaver V5 has a 2moa dot, and the K6 has a 1moa dot, but it is mounted on my varmint-calling rifle, a .257 "Bob."
The Lee dot is on a crosshair that is almost invisible, but your subconscious can pick it up. The single dot will allow you to range-estimate in a hurry, in the ranges you would be shooting.
The reason I have so many of the old steel Weavers is that I picked up several with "telephone pole" or 4x4 crosshairs at a good price and sent them in to Lee. I think they are GREAT!
I've read a lot of Jack O'Conner and he seemed to think they were all right.
Have fun,
Gene

Last edited by Mavrick; 12/07/14.